Answer:
The surface area is equal to 38 square inches
Step-by-step explanation:
we know that
The surface area of the triangular prism is equal to the area of its three rectangular faces plus the area of its two triangular faces
Part 1) Find the area of its three rectangular faces
[tex]A_1=(6)(2)+(2)(4)+(2)(3)=26\ in^2[/tex]
Part 2) Find the area of its two triangular faces
[tex]A_2=2[\frac{1}{2}(6)(2)]=12\ in^2[/tex]
Part 3) Find the surface area
[tex]SA=A_1+A_2[/tex]
substitute
[tex]SA=26+12=38\ in^2[/tex]
